NO they are not proportional
3/7 = .4285714
6/9 = .66666
Answer:
<h2>2(-14x-4y-1) /
-28x-8y-2</h2>
Step-by-step explanation:
2(3x + 12y - 5 - 17x - 16y +4)
the 2 outside the bracket means we need to multiply everything by 2
=
6x+24y-10-34x-32y+8
now put all the like-terms together
6x-34x+24y-32y+8-10
now add them together
=-28x-8y-2
now find the HCF
2
put 2 outside the bracket and then divide every number by 2
2(-14x-4y-1)
this is as simplified it can get
Volume of cone = (pi/3)r^2h
Volume of hemisphere = (1/2) (4pi/3)r^3
we are given r=6/2=3cm, h(cone)=8 cm,
so total volume
=(pi/3)r^2h + (1/2)(4pi/3)r^3
=(pi/3)*3^2*8 + (1/2)(4pi/3)*3^3
=24pi + 18pi
=42pi cm^3
=131.9 cm^3 (approx.)
Answer:
m<I=57
m<J=57
m<K=66
Step-by-step explanation:
All the angles in a triangle add up to 180 degrees.
m<I= 3x+18
m<K= 5x+1
m<I is congruent to m<J.
We can plug the information we already know into the equation.
3x+18+3x+18+5x+1=180
11x+37=180
Subtract 37 from both sides.
11x=143
x=13
Now, we can find out what the angles are.
m<I= 3x+18
m<I=3(13)+18
m<I=39+18
m<I=57
We know that m<I=m<J, so they are both equal to 57 degrees.
m<J=57
Now for m<K:
m<K=5x+1
m<K=5(13)+1
m<K=65+1
m<K=66
We know this is correct because 57+57+66=180.
AB=AC=BC . .......................................................